Cathy had $95 less than Rachel. Rachel spent 0.4 of her money and Cathy spent 20% of her money. In the end, Rachel and Cathy had the same amount of money left. Find the amount of money that Rachel had at first.
| |
Cathy |
Rachel |
Comparing Rachel
and Cathy at first |
|
95 more |
| Before |
5x3 =
15 u |
5x4 =
20 u |
| Change |
- 1x3 =
- 3 u |
- 2x4 =
- 8 u |
| After |
4x3 =
12 u |
3x4 =
12 u |
0.4 =
410 =
25 20% =
20100 =
15 Cathy and Rachel had the same amount of money in the end. Make the amount that each had in the end the same. LCM of 3 and 4 is 12.
Amount that Cathy had less than Rachel at first
= 20 u - 15 u
= 5 u
5 u = 95
1 u = 95 ÷ 5 = 19
Amount that Rachel had at first
= 20 u
= 20 x 19
= $380
Answer(s): $380
